What is the 5842nd prime number?
The 5842nd prime number is 57679. The next prime is 57689 (a gap of 10) and the one before is 57667.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5842nd one is 57679.
- 2
57679 is prime because no prime up to ā57679 ā 240.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5842nd prime is close to 5842 Ć ln(5842) ā 50667, and here it is 57679.
- 4
57679 has no twin: neither 57677 nor 57681 is prime.
Primes around the 5842nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5839 | 57649 | 8 |
| 5840 | 57653 | 4 |
| 5841 | 57667 | 14 |
| 5842 | 57679 | 12 |
| 5843 | 57689 | 10 |
| 5844 | 57697 | 8 |
| 5845 | 57709 | 12 |
Questions
What is the 5842nd prime number?
57679.
Which prime number is 57679?
57679 is the 5842nd prime number.
What is the sum of the first 5842 primes?
159,203,827.